Inequalities continue to play an essential role in mathematics. Since the seminal work Inequalities (1934) of Hardy, Littlewood and P6lya mathematicians have laboured to extend and sharpen the earlier classical inequalities.

Inequalities in Analysis.- Higher dimensional Hardy inequality.- Integral inequalities for algebraic polynomials.- Inequalities of Gauß-Minkowski type.- Natural norm inequalities in nonlinear transforms.- Inequalities for Matrices and Discrete Problems.- Positive definiteness of discrete quadratic functionals.- Stable norms — Examples and remarks.- Applications of order preserving inequalities to a generalized relative operator entropy.- The arithmetic mean — the geometric mean and related matrix inequalities.- Inequalities for Eigenvalue Problems.- Inequalities for the first eigenvalues of the clamped plate and buckling problems.- One the Payne-Pólya-Weinberger conjecture on the n-dimensional sphere.- Norm eigenvalue bounds for some Sturm-Liouville problems.- Discontinuous dependence of the n-th Sturm-Liouville problem.- Inequalities for Differential Operators.- Note on Wirtinger’s inequality.- Opial-type inequalities involving higher order partial derivatives of two functions.- The HELP type integral inequalities for 2nth order differential operators.- An estimate related to the Gagliardo-Nirenberg inequality.- Sobolev inequalities in 2-dimensional hyperbolic space.- Convexity.- On the separation with n-additive functions.- Convexity of power functions with respect to symmetric homogeneous means.- Convex functions with respect to an arbitrary mean.- Separation by semidefinite bilinear forms.- Inequalities in Functional Analysis and Functional Equations.- Inequalities for selection probabilities.- Delta-exponential mappings in Banach algebras.- On a problem of S.M. Ulam and the asymptotic stability of the Cauchy functional equation with applications.- Die Funktionalgleichung $$ f(x) + \max \left\{ {f(y),\,f\left( { - y} \right)} \right\} = \max \left\{ {f\left({x + y} \right),\,y\left( {x - y} \right)} \right\} $$.- Applications.- Asymptotic analysis of nonlinear thin layers.- The opaque square and the opaque circle.- Enclosure methods with existence proof for elliptic differential equations.- Weak persistence in Lotka-Volterra populations.- Uniqueness for degenerate elliptic equations via Serrin’s principle.- Problems and Remarks.- Overdetermined Hardy inequalities.- A condition for monotony.- A conjectured inequality of T.J. Lyons.- A theorem of Pommerenke and a conjecture of Erd?s.- Problems on finite sums decompositions of functions.

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